Nonlinearity properties of the mixing operations of the block cipher IDEA

2003-01-01
Yildirim, HM
In this paper we study the nonlinearity properties of the mixing operations circle dot, boxed plus and circle times used in IDEA. We prove that the nonlinearity of the vector function corresponding to the multiplication operation circle dot is zero for some key points. The Multiplication-Addition (MA) structure of IDEA is slightly changed to avoid the linearities due to these points and we suggest a new structure called RMA. The nonlinearity of MA, RMA and their composition are compared.
PROGRESS IN CRYPTOLOGY -INDOCRYPT 2003

Suggestions

Electromagnetic target recognition with the fused MUSIC spectrum matrix method: Applications and performance analysis for incomplete frequency data
Secmen, Mustafa; Ekmekci, Evren; Sayan, Gönül (2007-01-01)
The aim of this paper is to apply an electromagnetic target recognition method, which is based on the use of fused MUSIC spectrum matrices, to the case of incomplete frequency domain data. The aforementioned method was suggested recently and succesfully applied to both canonical and complicated targets in the presence of complete frequency domain data [1]. However, most of the real world applications involve the use of severely incomplete frequency data, especially missing low frequency information. In this...
Time-domain mapping of electromagnetic ray movement inside anisotropic spherical resonator
Biber, A; Golick, A; Tomak, Mehmet (2002-09-01)
This paper presents the analytical proof of "Time-Domain Mapping Method" for the spherical resonator made up of uniaxial crystal. In this way, the main types of caustics inside the spherical resonator made up of uniaxial crystal, which were investigated numerically before, are confirmed analytically. It is engraved that the problem of the ray flow inside the spherical resonator can be reduced to the problem of the ray flow inside metal cavity shaped as spheroid.
Nonlinear optical properties of a Woods-Saxon quantum dot under an electric field
AYTEKİN, ÖZLEM; Turgut, Sadi; Unal, V. Ustoglu; Aksahin, E.; Tomak, Mehmet (Elsevier BV, 2013-12-01)
A theoretical study of the effect of the confining potential on the nonlinear optical properties of two dimensional quantum dots is performed. A three-parameter Woods-Saxon potential is used within the density matrix formalism. The control of confinement by three parameters and an applied electric field gives one quite an advantage in studying their effects on the nonlinear properties. The coefficients investigated include the optical rectification, second and third-harmonic generation and the change in the...
Electromagnetic Signal Processing for Feature Extraction and Classification of Lossy Dielectric Targets
Sayan, Gönül (2013-08-15)
This paper presents the application of a real-time electromagnetic target classification technique to recognize dispersive dielectric objects with varying loss characteristics. The suggested classifier design technique is operative at the resonance region and is based on the use of Singularity Expansion Method (SEM) to represent a given electromagnetic scatterer by its natural response. A multi-aspect database of wide band scattered signals are processed to extract target features with the ultimate aim of t...
Nonlinear Vibrations of a Functionally Graded Material Microbeam with Geometric Nonlinearity
Uz, Canan; Ciğeroğlu, Ender (2017-02-02)
In this paper, nonlinear vibration analysis of micro scale functionally graded material (FGM) beams with geometric nonlinearity due to large deflection is studied using modified couple stress theory (MCST). MCST is a nonlocal elasticity theory which includes a material length scale parameter since the size of an atomic microstructure becomes comparable to the length of the microbeam. Equations of motion of the micro scale FGM beam are obtained by using Hamilton's principle. Nonlinear free vibrations of the ...
Citation Formats
H. Yildirim, “Nonlinearity properties of the mixing operations of the block cipher IDEA,” PROGRESS IN CRYPTOLOGY -INDOCRYPT 2003, pp. 68–81, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63709.